Surface modeling with boundary constraints and partial differential equations

Authors: You, L.H., Zhao, H.W., Chaudhry, E., You, X.Y. and Zhang, J.J.

Journal: Proceedings - 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics, CAD/Graphics 2009

Pages: 306-311

DOI: 10.1109/CADCG.2009.5246887

Abstract:

In this paper, we present a method to create and manipulate free form surfaces. A surface is generated from boundary constraints through a vector-valued fourth order partial differential equation involving an externally applied force. In addition to this function, the boundary constraints and the externally applied force also serve as shape manipulation tools. The proposed approach is applied in surface creation, surface manipulation, surface rebuilding and surface animation. It can tackle the problems of tangential continuity in patch modeing and is cheap to compute. The examples given in this paper indicate that our proposed method can create and manipulate free from surfaces easily and quickly. © 2009 IEEE.

Source: Scopus

Surface modeling with boundary constraints and partial differential equations

Authors: You, L.H., Zhao, H.W., Chaudhry, E., You, X.Y. and Zhang, J.J.

Journal: 2009 11TH IEEE INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN AND COMPUTER GRAPHICS, PROCEEDINGS

Pages: 306-+

ISBN: 978-1-4244-3700-9

DOI: 10.1109/CADCG.2009.5246887

Source: Web of Science (Lite)

Surface modeling with boundary constraints and partial differential equations

Authors: You, L.H., Zhao, H.W., Chaudhry, E., You, X.Y. and Zhang, J.J.

Pages: 306-311

Publisher: IEEE

ISBN: 978-142443700-9

DOI: 10.1109/CADCG.2009.5246887

Abstract:

In this paper, we present a method to create and manipulate free form surfaces. A surface is generated from boundary constraints through a vector-valued fourth order partial differential equation involving an externally applied force. In addition to this function, the boundary constraints and the externally applied force also serve as shape manipulation tools. The proposed approach is applied in surface creation, surface manipulation, surface rebuilding and surface animation. It can tackle the problems of tangential continuity in patch modeing and is cheap to compute. The examples given in this paper indicate that our proposed method can create and manipulate free from surfaces easily and quickly

http://cadgraphics.cn/cadcg2009/index.jsp

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You